红外与激光工程, 2018, 47 (1): 0123001, 网络出版: 2018-01-30   

FTIR光谱仪中傅里叶插值采样方法的研究

Fourier interpolative sampling algorithm in Fourier transform infrared spectrometer
作者单位
1 中国科学院安徽光学精密机械研究所 环境光学与技术重点实验室, 安徽 合肥 230031
2 中国科学技术大学, 安徽 合肥 230026
摘要
为解决传统“Brault”采样方法中参考信号过零点计算复杂、耗时较多的问题, 提出了基于傅里叶插值技术寻找过零点的方法。通过与其他插值方法进行比较研究, 结果表明, 这种方法确保了过零点信息准确性的同时简化了数据处理的复杂度, 得到的过零点信息线性拟合系数大于0.999。在2 100~2 200 cm-1波段范围内, 当参考激光信号误差较小时, 傅里叶插值方法得到的仪器SNR是三次样条插值法所得到的1.03倍, 而线性插值方法与傅里叶插值方法得到的结果一致; 当参考激光信号误差较大时, 傅里叶插值方法得到的仪器SNR是线性插值方法得到的仪器SNR的1.05倍。
Abstract
In order to solve the problem of complex and time-consumption of reference signal zero crossings in the traditional "Brault" sampling method, a method based on Fourier interpolation technique was proposed to find the zero-crossing. Compared with other interpolation methods, the results showed that this method could ensure the accuracy of zero-crossing information and simplify the complexity of data processing. The linear fitting coefficient of zero-crossing information obtained was greater than 0.999. In the range of 2 100-2 200 cm-1, when the error of reference laser signal was small, the instrumental SNR obtained by the Fourier interpolation method was 1.03 times that obtained by the cubic spline interpolation method, and the result obtained by the linear interpolation method was consistent with Fourier interpolation method. When the error of reference laser signal was relatively large, the instrumental SNR obtained by the Fourier interpolation method was 1.05 times of the SNR obtained by the linear interpolation method.

李妍, 李胜, 高闽光, 徐亮, 李相贤. FTIR光谱仪中傅里叶插值采样方法的研究[J]. 红外与激光工程, 2018, 47(1): 0123001. Li Yan, Li Sheng, Gao Minguang, Xu Liang, Li Xiangxian. Fourier interpolative sampling algorithm in Fourier transform infrared spectrometer[J]. Infrared and Laser Engineering, 2018, 47(1): 0123001.

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